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Apkarian, Naneh; Tabach, Michal; Dreyfus, Tommy; Rasmussen, Chris – Educational Studies in Mathematics, 2019
This study furthers the theory of conceptual blending as a useful tool for revealing the structure and process of student reasoning in relation to the Sierpinski triangle (ST). We use conceptual blending to investigate students' reasoning, revealing how students engage with the ST and coordinate their understandings of its area and perimeter. Our…
Descriptors: Geometric Concepts, Mathematical Logic, Mathematics Education, Masters Programs
Zandieh, Michelle; Ellis, Jessica; Rasmussen, Chris – Educational Studies in Mathematics, 2017
As part of a larger study of student understanding of concepts in linear algebra, we interviewed 10 university linear algebra students as to their conceptions of functions from high school algebra and linear transformation from their study of linear algebra. An overarching goal of this study was to examine how linear algebra students see linear…
Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Problem Solving
Rasmussen, Chris; Wawro, Megan; Zandieh, Michelle – Educational Studies in Mathematics, 2015
A challenge in mathematics education research is to coordinate different analyses to develop a more comprehensive account of teaching and learning. We contribute to these efforts by expanding the constructs in Cobb and Yackel's (Educational Psychologist 31:175-190, 1996) interpretive framework that allow for coordinating social and individual…
Descriptors: Mathematics Achievement, Mathematics Education, Educational Research, Mathematics Activities